{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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      "[1.9999945, 1.500003, 2.4614622e-12]\n"
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    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.9999973, 1.5000015, 6.461818e-13]\n",
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     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.9999973, 1.5000015, 6.461818e-13]\n",
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    {
     "name": "stdout",
     "output_type": "stream",
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    {
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    {
     "name": "stdout",
     "output_type": "stream",
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     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.9999973, 1.5000015, 6.461818e-13]\n",
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     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.9999973, 1.5000015, 6.461818e-13]\n",
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    {
     "name": "stdout",
     "output_type": "stream",
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      "[1.9999973, 1.5000015, 6.461818e-13]\n",
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      "[1.9999973, 1.5000015, 6.461818e-13]\n",
      "[1.9999973, 1.5000015, 6.461818e-13]\n",
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      "[1.9999973, 1.5000015, 6.461818e-13]\n",
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      "[1.9999973, 1.5000015, 6.461818e-13]\n",
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      "[1.9999973, 1.5000015, 6.461818e-13]\n",
      "[1.9999973, 1.5000015, 6.461818e-13]\n",
      "[1.9999973, 1.5000015, 6.461818e-13]\n",
      "[1.9999973, 1.5000015, 6.461818e-13]\n",
      "[1.9999973, 1.5000015, 6.461818e-13]\n",
      "[1.9999973, 1.5000015, 6.461818e-13]\n",
      "[1.9999973, 1.5000015, 6.461818e-13]\n",
      "[1.9999973, 1.5000015, 6.461818e-13]\n",
      "[1.9999973, 1.5000015, 6.461818e-13]\n",
      "[1.9999973, 1.5000015, 6.461818e-13]\n"
     ]
    }
   ],
   "source": [
    "# 构造一个线性回归的数据集\n",
    "import numpy as np\n",
    "x_data = np.random.rand(1000) \n",
    "y_data = x_data * 2.0 + 1.5\n",
    "\n",
    "# 利用tensorflow中的梯度下降法训练该线性回归\n",
    "import tensorflow as tf\n",
    "\n",
    "# 定义线性回归的两个变量：系数和常数项\n",
    "k = tf.Variable(0.0)\n",
    "b = tf.Variable(0.0)\n",
    "y = x_data * k + b\n",
    "\n",
    "# 梯度下降需要：学习率、损失函数 --梯度下降会自动根据损失函数求导，这一点很方便\n",
    "loss = tf.reduce_mean(tf.square(y_data - y))\n",
    "optimizer = tf.train.GradientDescentOptimizer(0.2)\n",
    "train = optimizer.minimize(loss)\n",
    "\n",
    "init = tf.global_variables_initializer()\n",
    "\n",
    "# 运行梯度下降4000次并打印每次的结果和对应的损失函数\n",
    "with tf.Session() as session:\n",
    "    session.run(init)\n",
    "    for step in range(4000):\n",
    "        session.run(train)\n",
    "        print(session.run([k, b, loss]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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